A search for the lepton-family-violating decay eta-->mu e and the rare
decay eta-->e(+)e(-) yields the following branching ratio (B) upper l
imits at a 90% confidence level: B(eta-->mu e)<6X10(-6) and B(eta-->e(
+)e(-))<2X10(-4). This is the first direct search for eta-->mu e The m
easurements were carried out at the SPES2 tagged eta facility at Labor
atoire National Saturne in the course of a measurement of B(eta-->mu()mu(-)).